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5060505456 = 24346835717
BaseRepresentation
bin1001011011010000…
…10010111101110000
3111001200020022110000
410231220102331300
540330442133311
62154052110000
7236255405136
oct45550227560
914050208400
105060505456
112167583716
12b92905300
13628554936
14360131756
151e9409056
hex12da12f70

5060505456 has 100 divisors (see below), whose sum is σ = 14670581112. Its totient is φ = 1684070784.

The previous prime is 5060505451. The next prime is 5060505473. The reversal of 5060505456 is 6545050605.

It is a happy number.

5060505456 is a `hidden beast` number, since 5 + 0 + 60 + 50 + 545 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5060505456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5060505451) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 882310 + ... + 888026.

Almost surely, 25060505456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5060505456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7335290556).

5060505456 is an abundant number, since it is smaller than the sum of its proper divisors (9610075656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5060505456 is a wasteful number, since it uses less digits than its factorization.

5060505456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6420 (or 6405 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 5060505456 is about 71137.2297464555. The cubic root of 5060505456 is about 1716.8458346610.

The spelling of 5060505456 in words is "five billion, sixty million, five hundred five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 683 1296 1366 2049 2732 4098 5464 5717 6147 8196 10928 11434 12294 16392 17151 18441 22868 24588 32784 34302 36882 45736 49176 51453 55323 68604 73764 91472 98352 102906 110646 137208 147528 154359 205812 221292 274416 295056 308718 411624 442584 463077 617436 823248 885168 926154 1234872 1852308 2469744 3704616 3904711 7409232 7809422 11714133 15618844 23428266 31237688 35142399 46856532 62475376 70284798 93713064 105427197 140569596 187426128 210854394 281139192 316281591 421708788 562278384 632563182 843417576 1265126364 1686835152 2530252728 5060505456